Re: bijection of R: R <--> Rx.....xR

Does anyone reject this method on philosophical grounds?
The digits are merely a representation of a real number,
not the real number itself. A value (a) and (b) in the reals
would seem more valid, and a function defined mathematically:
c = f ( a, b ).
This thing you guys are doing is sort of a three tape Turing solution.
Yes it works but where is the purity?
How about a swirl where
t = c
r = c d
where t is theta and r is radius.
now a = r cos t
and b = r sin t
Within a delta related to d there will be a range of c that matches for
any a and b.
If more accuracy is needed then drop d.

Does this approach work for 3D?
I don't see it.

-Tim

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Relevant Pages

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